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Finding the Fourth Proportional to 237.12, 327.08 and 167.08

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Solution

The fourth proportional to 237.12, 327.08 and 167.08 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 327.08 = 167.08 : x
  2. Step 2: Convert to fraction form
    237.12/327.08 = 167.08/x
  3. Step 3: Cross multiply
    237.12x = 327.08 × 167.08
  4. Step 4: Simplify right side
    237.12x = 54,648.53
  5. Step 5: Solve for x
    x = 54,648.53/237.12
  6. Step 6: Final answer
    x = 230.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.